Search a number
-
+
10033022101 is a prime number
BaseRepresentation
bin10010101100000001…
…11100010010010101
3221220012220022221011
421112000330102111
5131021423201401
64335322252221
7503425165204
oct112600742225
927805808834
1010033022101
11428941a003
121b40057071
13c3b7acb8b
146b26bb23b
153dac32451
hex25603c495

10033022101 has 2 divisors, whose sum is σ = 10033022102. Its totient is φ = 10033022100.

The previous prime is 10033022093. The next prime is 10033022147. The reversal of 10033022101 is 10122033001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 5606115876 + 4426906225 = 74874^2 + 66535^2 .

It is a cyclic number.

It is not a de Polignac number, because 10033022101 - 23 = 10033022093 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10033022161) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5016511050 + 5016511051.

It is an arithmetic number, because the mean of its divisors is an integer number (5016511051).

Almost surely, 210033022101 is an apocalyptic number.

It is an amenable number.

10033022101 is a deficient number, since it is larger than the sum of its proper divisors (1).

10033022101 is an equidigital number, since it uses as much as digits as its factorization.

10033022101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 10033022101 its reverse (10122033001), we get a palindrome (20155055102).

The spelling of 10033022101 in words is "ten billion, thirty-three million, twenty-two thousand, one hundred one".